16448940 has 96 divisors (see below), whose sum is σ = 51932160. Its totient is φ = 4321728.

The previous prime is 16448923. The next prime is 16448947. The reversal of 16448940 is 4984461.

It is a happy number.

16448940 is a `hidden beast` number, since 1 + 644 + 8 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16448895 and 16448904.

It is not an unprimeable number, because it can be changed into a prime (16448947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44637 + ... + 45003.

It is an arithmetic number, because the mean of its divisors is an integer number (540960).

Almost surely, 2^16448940 is an apocalyptic number.

16448940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16448940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25966080).

16448940 is an abundant number, since it is smaller than the sum of its proper divisors (35483220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16448940 is a wasteful number, since it uses less digits than its factorization.

16448940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 16448940 is about 4055.7292809062. The cubic root of 16448940 is about 254.3192917708.

The spelling of 16448940 in words is "sixteen million, four hundred forty-eight thousand, nine hundred forty".